Tabulkové derivace Flashcards

1
Q

e^x

A

e^x

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2
Q

a^x

A

a^x * ln a

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3
Q

ln x

A

1/x

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4
Q

log o základu ‘a’ z ‘x’

A

1 / (x * ln a)

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5
Q

x^a

A

a*x^(a-1)

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6
Q

sin x

A

cos x

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7
Q

cos x

A

-sin x

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8
Q

tg x

A

1 / (cos^2 x)

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9
Q

cotg x

A

-1 / (sin^2 x)

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10
Q

arcsin x

A

1 / sqrt(1 - x^2)

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11
Q

arccos x

A

-1 / sqrt(1 - x^2)

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12
Q

arctg x

A

1 / (x^2 + 1)

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13
Q

arccotg x

A

-1 / (x^2 + 1)

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14
Q

sinh x

A

cosh x

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15
Q

cosh x

A

sinh x

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16
Q

tgh x

A

1 / (cosh^2 x)

17
Q

cotgh x

A

-1 / (sinh^2 x)

18
Q

argsinh x

A

1 / sqrt(x^2 + 1)

19
Q

argcosh x

A

1 / sqrt(x^2 - 1)

20
Q

argcotgh x

A

1 / (1 - x^2)

21
Q

argtgh x

A

1 / (1 - x^2)

22
Q

(f * g)’

A

f’g + g’f

23
Q

(f / g)’

A

(f’g - g’f) / (g^2)

24
Q

(f(g))’

A

f’(g) * g’